Abstract: A process for manufacturing covers intended to close containers which are opened by peeling off the cover, these covers being of a type comprising an orifice and two closure elements disposed on each side of the orifice which they close and in which they adhere to one another, characterized in that it consists:in forming a series of holes (3) intended to form the orifices of the covers in a strip (2);in applying to one of the faces of the perforated strip (2) a first continuous coating (4) intended to form one of the two closure elements, this first coating being separable at least partially from the strip (2) by peeling off;in applying to the other face of the perforated strip (2) a second continuous coating (5) so that it comes into contact with the parts of the first coating (4) which are defined by the holes (3) and adheres strongly to these parts as well as to the perforated strip (2), this second coating (5) being intended to form the other closure element; andin cutting out the multi-layer sheet (1) th